Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

F=mv^2/r. How. 
Asked by suman04naha | 13 Aug, 2019, 07:46: PM
answered-by-expert Expert Answer
Let us consider a particle travel with constant speed from A to B in a circular path of radius r in a short time Δt
making an angular displacement Δθ as shown in figure.
 
distance S travelled is the arc length AB and it is given by,  S = v×Δt ..................(1)
 
Arc distance S also written geometrically as,   S = r×Δθ  ...........................(2)
 
from (1) and (2), we write ,  Δθ/Δt  = v/r  ...............(3)
 
Eqn.(3) is rate of angular displacement or angular velocity.
 
For small angular displacement made in short time Δt, we can write = dθ/dt = v/r  ......................(4)
 
In right side figure, velocity vectors at A and B are drawn by merging their initial points.
The angle between these vectors also Δθ.
 
from the right side figure, we write,  sin (Δθ/2) = (Δv/2) / v    or  Δv/2 = v sin(Δθ/2)  .................(5)
 
For small angle Δθ,  eqn.(5) is written as, Δv/2 = v Δθ/2   or Δv/Δθ = v   or     dv/dθ = v  .....................(6)
 
using eqn.(4) and eqn(6),    acceleration directed towards centre, dv/dt  = ( dv/dθ ) (dθ/dt) = v×(v/r) = ( v2 / r )
 
If m is mass, then   force F = mass×acceleration = m×(v2 / r )
 
Answered by Thiyagarajan K | 13 Aug, 2019, 10:50: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Physics
An object of mass 1kg is falling from the height h=10m.calculate a) the total energy of an object at h=10m b) potential energy of the object when it is at h=4m c) kinetic energy of the object when it is at h=4m d) what will be the speed of the object when it hits the ground
Asked by mailtoparvathyprajith | 08 Feb, 2024, 06:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Physics
1)state energy conversion takes place in hydroelectric power plants? 2)an object of mass 1kg is falling from a height of 10 m. Calculate i) the total energy of object at h=10m ii) Potential energy of an object when h=4m   3)Name energy transfers which occurs when a)an electri bell rings b)someone speake into a microphone c)there is a picture on television screen d)A torch is on  
Asked by mailtoparvathyprajith | 08 Feb, 2024, 12:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Physics
Why do we feel light on our feet when standing in a swimming pool with water up to our armpits ?
Asked by mailtoparvathyprajith | 08 Feb, 2024, 12:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Physics
The average speed of a moving body can never be zero but the average velocity of a moving body can be zero. Justify.
Asked by mailtoparvathyprajith | 06 Feb, 2024, 09:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Physics
  Arrange the following speeds in increasing order(keeping the least speed first): (i) An athlete running with a speed of 10m/s. (ii) An bicycle moving with a speed of 200m/min. (iii) An scooter moving with a speed of 30km/h
Asked by mailtoparvathyprajith | 06 Feb, 2024, 09:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Physics
3)A body does 20 joules of work in 5 seconds what is power
Asked by mailtoparvathyprajith | 06 Feb, 2024, 09:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Physics
when an arrow is shot from its bow it has kinetic Energy. From where does it get the kinetic Energy
Asked by mailtoparvathyprajith | 06 Feb, 2024, 08:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Physics
If person A reaches the 2nd floor Of a shopping mall by lift and Person B reaches the same floor by stairs and both their masses are same. Is work done by person B is greater than Person A  against gravitational force.Justify your answer
Asked by mailtoparvathyprajith | 06 Feb, 2024, 08:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Physics
calculate the amount of work required to stop a car of 1000kg moving with speed of 72km/h
Asked by sadhanaasadhanaa67 | 04 Feb, 2024, 12:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Physics
(3 X 3 = 9) CASE STUDY QUESTION 26. Ultrasounds can be used to detect cracks and flaws in metal blocks. Metallic components that are generally used in construction of big structures like buildings, machines and also scientific equipment. The cracks or holes inside metal blocks, which are invisible from outside, reduce the strength of the structure. Ultrasonic waves are allowed to pass through the metal block and detectors are used to detect the transmitted waves. If there is even a small defect, the ultrasound gets reflected back indicating the presence of flaw or defect. Clearly indicated in the figure Defect or flaw Ultrasound Detectors Metal Block (a) The transmitter sends an ultrasound wave of speed 5960m/s through a long steel bridge and a block reflects it back after 0.02s. how far the block in the metal bridge is from the transmitter. (b) With the above property of ultrasound waves, Can ultrasonic waves be used in the medical field? If so, how and give one use in the medical field to justify your answer? (c) Give two practical applications of reflection of sound waves?
Asked by mailtoparvathyprajith | 31 Jan, 2024, 06:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×